Question

4. Два шарика находятся на расстоянии 16 см друг от друга. Какова сила взаимодействия шариков, если известно, что на каждом из них 2 · 10в 10 степени избыточных электронов? Считайте шарики точечными зарядами. 5. Два одинаковых проводящих шарика с зарядами -5 нКл и +15 нКл соприкоснулись и разошлись на расстояние 60 см. Определите силу взаимодействия шариков. Считайте шарики точечными зарядами.

Answer 1

4) n₁=n₂=2*10¹⁰
r=16см=0,16м

q₁=q₂=n₁*e где e заряд электрона e=1.6*10⁻¹⁹ Кл
Сила Кулона F=kq₁q₂/r² где k=9*10⁹
F=kn₁*e*n₁*e/r²=kn₁²e²/r²=9*10⁹*4*10²⁰*2.56*10⁻³⁸/2.56*10⁻²=36²⁹*10⁻³⁶
F=36*10⁻⁷=3,6*10⁻⁶ Н

Ответ 3,6*10⁻⁶ Н

5)
q₁=-5 нКл= -5*10⁻⁹Кл
q₂=15 нКл= 15*10⁻⁹Кл

После прикосновения сумма зарядов делится поровну
q₀=(q₁+q₂)/2=(-5*10⁻⁹Кл+15*10⁻⁹Кл)/2=5*10⁻⁹Кл
F=kq₀q₀/r²=9*10⁹*5*10⁻⁹*5*10⁻⁹/0.6²=225*10⁻⁹/0.36=6,25*10⁻⁷Н

Ответ 6,25*10⁻⁷Н

Answer 2

Calculation of the force of interaction between two charged spheres

To calculate the force of interaction between two charged spheres, we can use Coulomb's law, which states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

For the first scenario, where two spheres are at a distance of 16 cm from each other and each sphere has an excess of 2 x 10^10 electrons, we can assume that the spheres are point charges.

Let's denote the charge on each sphere as q = 2 x 10^10 electrons. The charge of an electron is approximately -1.6 x 10^-19 Coulombs.

The force of interaction between the two spheres can be calculated using the formula:

F = k * (q1 * q2) / r^2

Where: - F is the force of interaction between the spheres, - k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), - q1 and q2 are the charges on the spheres, - r is the distance between the spheres.

Substituting the values into the formula, we get:

F = (9 x 10^9 Nm^2/C^2) * ((2 x 10^10 electrons) * (-1.6 x 10^-19 C) / (0.16 m)^2)

Simplifying the expression, we find:

F = -1.152 N

Therefore, the force of interaction between the two spheres is approximately -1.152 N.